Su96Ex1sol - Su 96 BEN 342i] EXAM 1 Name Problem 1 (4H pts)...

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Unformatted text preview: Su 96 BEN 342i] EXAM 1 Name Problem 1 (4H pts) Consider the function fife) = x5 - 4x! + fix - 4. Fill in the tables below and stop when the true relative error falls below ]5 “flu or after the fifth iteration, whichever comes first. Retain the maximum number of digits in all intermediate calculations; however round all displayed results in the tables to 3 places after the decimal point. Show work for one iteration to receive partial credit! A. Bisection Method T'E'J'L ’15:": {ii-.1 t - ihvgu 'l-ei s .. L “his [irih * '3‘ “"0 I -. iraegssssa akin-am t :T-t-a) 1 - t: I- I.- ‘Fn. = III—$353333; ~L—D.Jva'1wrs';all 31333-55535 ) H-Miz’ihan’) S—t-GJ‘fG'N‘” —o¥'31-1e~7‘10]'-tl 11-3flflmsfllfi‘i7 LI «out? “a i I n; LEWBEE ‘1':ch -(—0.53?‘f1§?3£}(‘b~1.S*~I‘B3‘B‘?aq1 y “RV ‘rKLS‘fiBE = a. 1 a I one 11 a 5 '(‘G‘smflfifl C. Simpla One Point Iteration 1m = got-J where am = D. Newton Raphson MI:de ‘3'. pm: $11 “ERIK +6 Su 95 HEN 342D EXAM 1 Name Problem 2 (2‘3 pts) Consider the table of values obtained from an unknown function fix). a) Find the coefficients ha, b1, hi, and in: in the Newton Divided Difference Interpolating polynomial fstx}. Use the table above and fill in the finite differences. In) Estimate the function at 11:3. c) An additional data point from ffx) is x = 3, f(3) = 7". Find the true error at x=3. air; 11.. M1 = air-rial} ’9‘; magi I .I : 1"i "—0 live“ rho “MAMA = warm came“ ———.___.____ = 175- 'l 2‘1 ii‘fil H-t gi$3lx1;xuxul :- $L$3JiLJfiJI _. (Ti-$1, Ft‘fiarl fiS-XU q-o b3 3: all” Belt-BtW-Eet athw—xuiwo.) c aim—hurt:- L‘s-“#1) 1 a c tLij1-Qflu3tfifl3 titunenntiwlfi 1 ‘f ~1— 1L l1~0L$-?—l ga§3l : '5 +“513~11 {5»1,3 = :1 LE ET"; RrKE}-—§-gk3} -.-_ j._q‘ -: -‘L Su 96 EENBQG EXHMl Nam Problem 3 (43 pts) A) Estimate the weight of a a ft tall high school student using a least squares regression line thru the following data points. Height (inches) Weight (ft) H W a 'n H Em: 1‘s? - E i = ,wi = EH3 1%“ i Bwfltfl BWEHL r" .. = 33E “3"11‘“ ‘='t'1"~o.“'12-‘31 B) Complete the tgble and compute the coefficient of determination. 4 . 1 . . . . . . . . . a a a . a a . . a . . . a a a a a a . a . . . . a a a . . . . . . a a a . . . . a . . a a . . . a a a a . . . . . a a a . . . . . . a a a . . . . . . a a a . . . . . . . . . a a a . a . . . . . . . a a a a a a . .- “an +(EH‘3Q‘: Eh.) tzmfiufifififin *- “Ema Tag 1- HILin a“ = VHS' Hfiaaa*3HTWL&1:8bBKD _—_—_——————u— 1115; Ha:- ‘Eflua‘lc 11:11 331 ——_______'_-__ '7 Han:- “q‘a 34391; "I" 1135' “WED 9531:: -—__________ am: h w '- &-+&!H fl. wHL‘J '-' -H1?..5_Tl + 8.31IK11} 1 tfi$.SHI — Ilelfl 1Qfl 2§1¢ 1.01% = - H1351! ' 8.5”?! ...
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Su96Ex1sol - Su 96 BEN 342i] EXAM 1 Name Problem 1 (4H pts)...

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